Skip to main content Accessibility help

Acoustic scattering by a finite rigid plate with a poroelastic extension

  • Lorna J. Ayton (a1)


The scattering of sound by a finite rigid plate with a finite poroelastic extension interacting with an unsteady acoustic source is investigated to determine the effects of porosity, elasticity and the length of the extension when compared to a purely rigid plate. The problem is solved using the Wiener–Hopf technique, and an approximate Wiener–Hopf factorisation process is implemented to yield reliable far-field results quickly. Importantly, finite chord-length effects are taken into account, principally the interaction of a rigid leading-edge acoustic field with a poroelastic trailing-edge acoustic field. The model presented discusses how the poroelastic trailing-edge property of owls’ wings could inspire quieter aeroacoustic designs in bladed systems such as wind turbines, and provides a framework for analysing the potential noise reduction of these designs.


Corresponding author

Email address for correspondence:


Hide All
Abrahams, I. D. 1983 Scattering of sound by an elastic plate with flow. J. Sound Vib. 89, 213231.
Abrahams, I. D. 2000 The application of Padé approximants to Wiener–Hopf factorization. IMA J. Appl. Maths 65, 257281.
Ayton, L. J. & Peake, N. 2013 On high-frequency noise scattering by aerofoils in flow. J. Fluid Mech. 734, 144182.
Barone, M. F.2011 Survey of techniques for reduction of wind turbine blade trailing edge noise. Sandia Tech. Rep. pp. SAND2011–5252.
Cavalieri, A. V. G., Wolf, W. R. & Jaworski, J. W. 2014 Acoustic scattering by finite poroelastic plates. In 20th AIAA/CEAS Aeroacoustics Conference, Atlanta.
Clark, I. A.2014. A study of bio-inspired canopies for the reduction of roughness noise. PhD thesis, Virginia Polytechnic Institute and State University.
Graham, R. R. 1934 The silent flight of owls. J. R. Aero. Soc. 38, 837843.
Haeri, S., Kim, J. W. & Joseph, P. 2015 On the mechanisms of noise reduction in aerofoil-turbulence interaction by using wavy leading edges. In 21st AIAA/CEAS Aeroacoustics Conference, Dallas, TX.
Howe, M. S. 1979 On the added mass of a perforated shell, with application to the generation of aerodynamic sound by a perforated trailing edge. Proc. R. Soc. Lond. A 365, 209233.
Howe, M. S. 1991 Aerodynamic noise of a serrated trailing edge. J. Fluids Struct. 5, 3345.
Howe, M. S. 1993 Structural and acoustic noise produced by turbulent flow over an elastic trailing edge. Proc. R. Soc. Lond. A 442, 533554.
Howe, M. S. 1998 Acoustics of Fluid–Structure Interactions. Cambridge University Press.
Jaworski, J. W. & Peake, N. 2013 Aerodynamic noise from a poroelastic edge with implications for the silent flight of owls. J. Fluid Mech. 723, 456479.
Koegler, K. U., Herr, S. & Fisher, M.2009 Wind turbine blades with trailing edge serrations. US Patent App. 11/857,844.
Mathews, J. & Peake, N. 2015 Noise generation by turbulence interacting with an aerofoil with a serrated leading edge. In 21st AIAA/CEAS Aeroacoustics Conference, Dallas, TX.
Noble, B. 1958 Methods Based on the Wiener–Hopf Technique for the Solution of Partial Differential Equations. Pergamon.
Roger, M. & Moreau, S. 2005 Back-scattering correction and further extensions of Amiet’s trailing-edge noise model. Part 1: theory. J. Sound Vib. 286, 477506.
Scott, J. F. M. 1992 Acoustic scattering by a finite elastic strip. Phil. Trans. R. Soc. Lond. 338, 145167.
Timoshenko, S. P. & Woinowsky-Kreiger, S. 1959 Theory of Plates and Shells. McGraw-Hill.
Veitch, B. & Peake, N. 2008 Acoustic propagation and scattering in the exhaust flow from coaxial cylinders. J. Fluid Mech. 613, 275307.
MathJax is a JavaScript display engine for mathematics. For more information see

JFM classification

Related content

Powered by UNSILO

Acoustic scattering by a finite rigid plate with a poroelastic extension

  • Lorna J. Ayton (a1)


Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed.